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Math Help - simple one

  1. #1
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    simple one

    let p be odd prime p=8k+r 1<=r<=7
    prove that

    Last edited by yeke; April 25th 2011 at 08:03 AM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by yeke View Post
    let p be odd prime p=8k+r 1<=r<=7
    prove that

    (-1)^((p^2-1)/8) = (-1)((r^2-1)/8)
    Are you sure this isn't


    Form p^2 - 1 = 64k^2 + 16kr + (r^2 - 1). Divide this by 8 and plug it into the LHS of your original statement and see what cancels.

    -Dan
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  3. #3
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    Quote Originally Posted by topsquark View Post
    Are you sure this isn't


    Form p^2 - 1 = 64k^2 + 16kr + (r^2 - 1). Divide this by 8 and plug it into the LHS of your original statement and see what cancels.

    -Dan
    yes thats it. but i didnt understand about forming p^2 - 1... how am i gonna do that?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by yeke View Post
    yes thats it. but i didnt understand about forming p^2 - 1... how am i gonna do that?




    So












    -Dan
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